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skelet666 [1.2K]
3 years ago
9

First one right gets BRAINLIEST!! If f(x)=x²+2x-3 and g(x)=x²-9, find (f/g) 4 and (f+g)(4)

Mathematics
1 answer:
Rasek [7]3 years ago
6 0

Answer:

3 and 28

Step-by-step explanation:

note (\frac{f}{g} )(x ) = \frac{f(x)}{g(x)}

\frac{f(x)}{g(x)}

= \frac{x^2+2x-3}{x^2-9}  and

(\frac{f}{g} )(4) = \frac{4^2+2(4)-3}{4^2-9} = \frac{16+8-3}{16-9} = \frac{21}{7} = 3

-------------------------------------------------------

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= x² + 2x - 3 + x² - 9 = 2x² + 2x - 12 and

(f + g)(4) = 2(4)² + 2(4) - 12 = 2(16) + 8 - 12 = 32 + 8 - 12 = 28

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Answer:

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IceJOKER [234]

answer:

39.9

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erastovalidia [21]

9514 1404 393

Answer:

  6/2

Step-by-step explanation:

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6 0
2 years ago
What is the slope of a line that is parallel to the x-axis? m=
Ludmilka [50]
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6 0
3 years ago
Write the equation, in standard form, of a polynomial of the least degree with integral
Hitman42 [59]

Answer:

f

(

x

)

=

3

x

3

−

5

x

2

−

47

x

−

15

Explanation:

If the zero is c, the factor is (x-c).

So for zeros of

−

3

,

−

1

3

,

5

, the factors are

(

x

+

3

)

(

x

+

1

3

)

(

x

−

5

)

Let's take a look at the factor

(

x

+

1

3

)

. Using the factor in this form will not result in integer coefficients because

1

3

is not an integer.

Move the

3

in front of the x and leave the

1

in place:

(

3

x

+

1

)

.

When set equal to zero and solved, both

(

x

+

1

3

)

=

0

and

(

3

x

+

1

)

=

0

result in

x

=

−

1

3

.

f

(

x

)

=

(

x

+

3

)

(

3

x

+

1

)

(

x

−

5

)

Multiply the first two factors.

f

(

x

)

=

(

3

x

2

+

10

x

+

3

)

(

x

−

5

)

Multiply/distribute again.

f

(

x

)

=

3

x

3

+

10

x

2

+

3

x

−

15

x

2

−

50

x

−

15

Combine like terms.

f

(

x

)

=

3

x

3

−

5

x

2

−

47

x

−

15

5 0
3 years ago
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